# Measurement-induced phase transitions in sparse nonlocal scramblers

@inproceedings{Hashizume2021MeasurementinducedPT, title={Measurement-induced phase transitions in sparse nonlocal scramblers}, author={Tomohiro Hashizume and Gregory S. Bentsen and Andrew J. Daley}, year={2021} }

Measurement-induced phase transitions arise due to a competition between the scrambling of quantum information in a many-body system and local measurements. In this work we investigate these transitions in different classes of fast scramblers, systems that scramble quantum information as quickly as is conjectured to be possible – on a timescale proportional to the logarithm of the system size. In particular, we consider sets of deterministic sparse couplings that naturally interpolate between…

## Figures from this paper

## 2 Citations

Entanglement Transitions from Stochastic Resetting of Non-Hermitian Quasiparticles

- Physics
- 2021

Xhek Turkeshi,1 Marcello Dalmonte,2, 3 Rosario Fazio,3, 4 and Marco Schirò1 JEIP, USR 3573 CNRS, Collège de France, PSL Research University, 11 Place Marcelin Berthelot, 75321 Paris Cedex 05, France…

Measurement-induced criticality in extended and long-range unitary circuits

- Physics
- 2021

We explore the dynamical phases of unitary Clifford circuits with variable-range interactions, coupled to a monitoring environment. We investigate two classes of models, distinguished by the action…

## References

SHOWING 1-10 OF 71 REFERENCES

Fast scrambling on sparse graphs

- Physics, MathematicsProceedings of the National Academy of Sciences
- 2019

It is proposed that a logarithmic scrambling time can be achieved in most quantum systems with sparse connectivity, and how quantum chaos is not universally related to scrambling is elucidated.

Measurement-Induced Transition in Long-Range Interacting Quantum Circuits

- PhysicsPhysical Review Letters
- 2022

The competition between scrambling unitary evolution and projective measurements leads to a phase transition in the dynamics of quantum entanglement. Here, we demonstrate that the nature of this…

Dynamical Purification Phase Transition Induced by Quantum Measurements

- Physics, Mathematics
- 2019

Continuously monitoring the environment of a quantum many-body system reduces the entropy of (purifies) the reduced density matrix of the system, conditional on the outcomes of the measurements. We…

Critical properties of the measurement-induced transition in random quantum circuits

- Physics
- 2020

We numerically study the measurement-driven quantum phase transition of Haar-random quantum circuits in $1+1$ dimensions. By analyzing the tripartite mutual information we are able to make a precise…

Quantum Zeno effect and the many-body entanglement transition

- PhysicsPhysical Review B
- 2018

We introduce and explore a one-dimensional ``hybrid'' quantum circuit model consisting of both unitary gates and projective measurements. While the unitary gates are drawn from a random distribution…

Towards the fast scrambling conjecture

- Physics
- 2013

A bstractMany proposed quantum mechanical models of black holes include highly non-local interactions. The time required for thermalization to occur in such models should reflect the relaxation times…

Treelike Interactions and Fast Scrambling with Cold Atoms.

- Physics, MathematicsPhysical review letters
- 2019

An experimentally realizable quantum spin model that exhibits fast scrambling, based on nonlocal interactions that couple sites whose separation is a power of 2.5, offers a test case for experimentally observing the emergent geometry of a quantum many-body system.

Measurement-induced criticality in random quantum circuits

- Physics
- 2020

We investigate the critical behavior of the entanglement transition induced by projective measurements in (Haar) random unitary quantum circuits. Using a replica approach, we map the calculation of…

Self-organized error correction in random unitary circuits with measurement

- Physics
- 2020

Random measurements have been shown to induce a phase transition in an extended quantum system evolving under chaotic unitary dynamics, when the strength of measurements exceeds a threshold value.…

Measurement-Driven Phase Transition within a Volume-Law Entangled Phase

- Physics
- 2020

We identify a phase transition between two kinds of volume-law entangled phases in non-local but few-body unitary dynamics with local projective measurements. In one phase, a finite fraction of the…